Work

Lubrication-mediated rebounds off fluid baths

Year: 2024

Type: article

Abstract: We present herein the derivation of a lubrication-mediated (LM) quasi-potential model for droplet rebounds off deep liquid baths, assuming the presence of a persistent dynamic air layer which acts as a lubricating pressure transfer. We then present numerical simulations of the LM model for axisymmetric rebounds of solid spheres and compare quantitatively to current results in the literature, including experimental data in the low-speed impact regime. In this regime the LM model has the advantage of being far more computationally tractable than direct numerical simulation (DNS) and is also able to provide detailed behaviour within the micro-metric thin lubrication region. The LM system has an interesting mathematical structure, with the lubrication layer providing a free-boundary elliptic problem mediating the drop and bath free-boundary evolutionary equations.

Source: Journal of Fluid Mechanics

DOI: 10.1017/jfm.2024.959

Authors: K.A. Phillips, P.A. Milewski

Institutions: University of Warwick, University of Bath, Pennsylvania State University

Language: English

Topic: Fluid Dynamics and Heat Transfer

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,450

Funders: Leverhulme Trust, Engineering and Physical Sciences Research Council, Centre for Doctoral Training in Statistical Applied Mathematics, University of Bath